At the 005 level of significance there is sufficient evidenc

At the 0.05 level of significance, there is sufficient evidence to reject the null hypothesis; that is, the given distribution does not fit the observed data.

True or False::::

COLOR	CLAIMED %	EXPECTED	OBSERVED	OBSERVED %	CHI-SQUARE ERROR
RED	0.13	107.25	103	0.125	0.1684
ORANGE	0.2	165	153	0.185	0.8727
YELLOW	0.14	115.5	108	0.131
GREEN	0.16		159	0.193	5.5227
BLUE	0.24	198	201	0.244	0.0455
BROWN	0.13	107.25	101	0.122	0.3642

Solution

COLOR

CLAIMED %

EXPECTED

OBSERVED

OBSERVED %

CHI-SQUARE ERROR

RED

0.13

107.25

103

0.125

0.1684

ORANGE

0.2

165

153

0.185

0.8727

YELLOW

0.14

115.5

108

0.131

0.4870

GREEN

0.16

132

159

0.193

5.5227

BLUE

0.24

198

201

0.244

0.0455

BROWN

0.13

107.25

101

0.122

0.3642

825

7.460513

Calculated chi square =7.46

Table value of chi square for 5 DF at 0.05 level =11.07

Calculated chi square 7.46 < 11.07, the table value

The null hypothesis is not rejected.

At the 0.05 level of significance, there is not sufficient evidence to reject the null hypothesis;

The given distribution fits the observed data.

COLOR	CLAIMED %	EXPECTED	OBSERVED	OBSERVED %	CHI-SQUARE ERROR
RED	0.13	107.25	103	0.125	0.1684
ORANGE	0.2	165	153	0.185	0.8727
YELLOW	0.14	115.5	108	0.131	0.4870
GREEN	0.16	132	159	0.193	5.5227
BLUE	0.24	198	201	0.244	0.0455
BROWN	0.13	107.25	101	0.122	0.3642
			825		7.460513